Our course finder pages contain all the most up-to-date information about the Financial Computing MSc, including details of the programme structure, compulsory and elective modules and study options.

Below is a full list of all modules which are expected to be available to students on this programme across the semesters. Please note that this is for information only and may be subject to change. Click the link above for accurate information about which of these modules are compulsory and elective for each semester of your MSc programme.

Modules with codes beginning MTH are taught by the School of Mathematical Sciences (SMS), providing a solid understanding of the principles of mathematical finance. Modules with codes beginning ECS are taught by the School of Electronic Engineering and Computer Science (EECS), and focus on key aspects of technological implementation. Modules are assessed by a mixture of in-term assessment and final examinations, with examinations being held in January and May.

This module covers the advanced programming techniques in C++ that are widely used by professional software engineers and quantitative analysts & developers. The most important of these techniques is object-oriented programming, embracing the concepts of encapsulation, inheritance and polymorphism. We then use these techniques to price a wide range of financial derivatives numerically, using several different pricing models and numerical methods. On completion of this module, you will have acquired the key skills needed to apply for your first role as a junior ‘quant’ or software developer in a financial institution.

Topics include:

- Advanced programming in C++: Classes and objects, dynamic memory allocation, templates, the C++ standard library, strings, container classes, smart pointers, design patterns
- Stochastic models for asset prices (GBM, local volatility, stochastic volatility, jump diffusion)
- Financial derivatives, including options on shares (e.g. European, American, digital, barrier, Asian, lookback, compound, chooser)
- Implied volatility and the construction of the volatility smile
- Fixed income and rates (bonds and yield-to-maturity, discount factor curve bootstrapping, stochastic interest rate models)
- Numerical methods (interpolation, numerical quadrature, non-linear solvers, binomial trees (Cox-Ross-Rubinstein), Monte Carlo methods, finite-difference methods for PDEs)

Big Data Processing covers the new large-scale programming models that allow to easily create algorithms that process massive amounts of information with a cluster of computer nodes. These platforms hide the complexity of coordinating complex parallel computations across the cooperating nodes, instead providing to developers a high-level programming model.

The module is based on the MapReduce programming model. Lectures explain how multiple data analysis algorithms can be expressed under this model, and executed automatically over clusters of machines. The module also covers the internal mechanisms that a MapReduce framework uses to coordinate and execute the job among the infrastructure. Finally, additional related topics in the area of Big Data, such as alternative large-scale processing platforms, NoSQL data stores, and Cloud Computing execution infrastructure are presented. In addition to the lectures, weekly lab sessions and coursework exercises present multiple applications where real world datasets are analysed using platforms such as Hadoop.

This module will introduce you to a range of topics in data analysis and machine learning, using the Python programming language. Topics include:

- Introduction to Data Analysis
- Basic Python programming
- Python libraries for data science (NumPy, matplotlib, pandas, etc.)
- Advanced data manipulation and visualisation
- Scikit-Learn for machine learning
- Statistical approaches to machine learning

The project component of the MSc programme will give you the opportunity to undertake some significant and advanced study in an area of interest, under the guidance of an expert in that field. Many projects involve a substantial amount of programming and analysis. Your project will be assessed by a written dissertation (of up to 60 pages) which you will submit in early September.

Possible project topics may include:

- The application of a 3-factor HJM model for pricing inflation-linked bonds
- Credit valuation adjustment (CVA) for interest rate swaps: Investigation of wrong-way risk using Monte Carlo / OpenCL
- The Heston model and its numerical implementation on a GPU using CUDA C/C++
- Jump-diffusion models for equity prices
- The LIBOR market model for interest rate derivatives
- Option pricing using finite-difference methods on CPUs and GPUs
- Parallelism in the Alternate Direction Implicit (ADI) method for solving PDEs for stochastic volatility models
- Pricing passport options
- The pricing and risk-management of basket credit derivatives (NTDs and CDOs) using Gaussian copula models
- The SABR stochastic volatility model

This module introduces you to all of the fundamental concepts needed for your future studies in financial mathematics. After reviewing some key ideas from probability theory, we give an overview of some of the most important financial instruments, including shares, forward contracts and options. We next explain how derivative securities can be priced using the principle of no arbitrage. Various models for pricing options are then considered in detail, including the discrete-time binomial model and the continuous-time Black-Scholes model.

Topics include:

- Review of key concepts in probability theory
- Introduction to financial markets
- Pricing derivatives by no-arbitrage arguments
- Discrete-time option pricing models
- Introduction to continuous-time stochastic processes and the Black-Scholes model

The main aim of the module is to introduce students to C++ programming and teach good quality program design using object-oriented technology. The module will start with introduction to C++ and to object-oriented concepts for those unfamiliar with them. Those who have already used C++ may also find it useful to review their knowledge and understanding of the language. Although C++ will be used as the programming language throughout the module, the techniques discussed are applicable to other object-oriented languages.

The emphasis of the module will be on the actual code level of software development. There will also be some coverage of software engineering principles, in order to move from designing effective software components. Consideration will also be given to the design and analysis of code using the idea of design patterns.

This course covers methods for machine learning from signals and data, including statistical pattern recognition methods, neural networks, and clustering. The aim of the course is to give you an understanding of machine learning methods, including pattern recognition, clustering and neural networks, and to allow you to apply such methods in a range of areas. By the end of the course you will be able to:

- Recall a range of machine learning techniques and algorithms, including neural networks and statistical methods; Use concepts from probability theory in machine learning
- Derive and analyse properties of machine learning methods
- Discuss the relative merits of different machine learning techniques and approaches and apply machine learning methods to the analysis of signals and data.

This module enables you to acquire a deeper understanding of the role of Ito stochastic calculus in mathematical finance, extending the material taught in MTH771P. We begin with some theoretical matters that build on Brownian motion, including concepts such as the Ito integral and Ito processes, and we discuss Ito’s lemma and its use in solving stochastic differential equations. We then turn to applications in finance, showing how the no-arbitrage principle can be used to derive the famous Black-Scholes formula for European call options. We further develop the concepts of risk-neutrality and market completeness. Finally, we apply the methods of stochastic calculus to price different kinds of financial derivative, including exotic and American-style options.

Topics include:

- Overview of continuous-time stochastic processes, with a focus on Brownian motion
- Construction of the Ito integral and Ito processes
- Ito’s lemma, and its use in solving stochastic differential equations
- Review of the Black-Scholes formula for European call options, and the BS partial differential equation
- Fundamental theorems of asset pricing
- Constructing risk-neutral measures in markets with one or many underlying assets
- Pricing exotic and American options, term structure models, as time allows

This module introduces you to some of the key technologies that are widely used for developing software applications in the financial markets and banking sectors. In particular, we focus on three programming environments/languages (Excel, VBA and C++) which are often used in conjunction to build complete trading and risk management systems. It is a highly practical module, focusing on current industry practice, and therefore you will be well equipped to apply for a programming role in a financial institution.

Topics include:

- Overview of typical requirements for trading and risk management systems
- Introduction to Microsoft Excel, and its use as a ‘front end’ for applications
- Fundamentals of programming in VBA (Microsoft Visual Basic for Applications)
- Manipulating Excel from VBA, the Excel object model
- Review of C++, generation of dynamically-linked libraries (DLLs) used as ‘back ends’ containing computation analytics
- Complete system development (Excel/VBA/C++) of a derivatives pricing tool
- Review of other technologies used in practice, including Java, COM, Python, .NET, C#, F#